%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV263-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n032.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Wed Jul 20 20:42:28 EDT 2022 % Result : Unsatisfiable 0.50s 0.73s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.08 % Problem : SWV263-2 : TPTP v8.1.0. Released v3.2.0. % 0.04/0.09 % Command : moca.sh %s % 0.08/0.28 % Computer : n032.cluster.edu % 0.08/0.28 % Model : x86_64 x86_64 % 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.28 % Memory : 8042.1875MB % 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.28 % CPULimit : 300 % 0.08/0.28 % WCLimit : 600 % 0.08/0.28 % DateTime : Wed Jun 15 13:52:59 EDT 2022 % 0.08/0.28 % CPUTime : % 0.50/0.73 % SZS status Unsatisfiable % 0.50/0.73 % SZS output start Proof % 0.50/0.73 The input problem is unsatisfiable because % 0.50/0.73 % 0.50/0.73 [1] the following set of Horn clauses is unsatisfiable: % 0.50/0.73 % 0.50/0.73 c_lessequals(v_G, v_H, tc_set(tc_Message_Omsg)) % 0.50/0.73 c_in(v_X, v_G, tc_Message_Omsg) % 0.50/0.73 c_in(v_X, c_Message_Oparts(v_H), tc_Message_Omsg) ==> \bottom % 0.50/0.73 c_in(V_X, V_H, tc_Message_Omsg) ==> c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) % 0.50/0.73 c_in(V_c, V_A, T_a) & c_lessequals(V_A, V_B, tc_set(T_a)) ==> c_in(V_c, V_B, T_a) % 0.50/0.73 % 0.50/0.73 This holds because % 0.50/0.73 % 0.50/0.73 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.50/0.73 % 0.50/0.73 E: % 0.50/0.73 c_in(v_X, v_G, tc_Message_Omsg) = true__ % 0.50/0.73 c_lessequals(v_G, v_H, tc_set(tc_Message_Omsg)) = true__ % 0.50/0.73 f1(c_in(v_X, c_Message_Oparts(v_H), tc_Message_Omsg)) = true__ % 0.50/0.73 f1(true__) = false__ % 0.50/0.73 f2(c_in(V_X, V_H, tc_Message_Omsg), V_X, V_H) = true__ % 0.50/0.73 f2(true__, V_X, V_H) = c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) % 0.50/0.73 f3(true__, V_c, V_B, T_a) = c_in(V_c, V_B, T_a) % 0.50/0.73 f4(c_lessequals(V_A, V_B, tc_set(T_a)), V_c, V_A, T_a, V_B) = true__ % 0.50/0.73 f4(true__, V_c, V_A, T_a, V_B) = f3(c_in(V_c, V_A, T_a), V_c, V_B, T_a) % 0.50/0.73 G: % 0.50/0.73 true__ = false__ % 0.50/0.73 % 0.50/0.73 This holds because % 0.50/0.73 % 0.50/0.73 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.50/0.73 % 0.50/0.73 % 0.50/0.73 c_in(V_c, V_B, T_a) -> f3(true__, V_c, V_B, T_a) % 0.50/0.73 c_in(v_X, v_G, tc_Message_Omsg) -> true__ % 0.50/0.73 c_lessequals(v_G, v_H, tc_set(tc_Message_Omsg)) -> true__ % 0.50/0.73 f1(c_in(v_X, c_Message_Oparts(v_H), tc_Message_Omsg)) -> true__ % 0.50/0.73 f1(f3(true__, v_X, c_Message_Oparts(v_H), tc_Message_Omsg)) -> true__ % 0.50/0.73 f1(true__) -> false__ % 0.50/0.73 f2(c_in(V_X, V_H, tc_Message_Omsg), V_X, V_H) -> true__ % 0.50/0.73 f2(f3(true__, Y0, Y1, tc_Message_Omsg), Y0, Y1) -> true__ % 0.50/0.73 f2(true__, V_X, V_H) -> c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) % 0.50/0.73 f3(f3(true__, Y3, v_G, tc_Message_Omsg), Y3, v_H, tc_Message_Omsg) -> true__ % 0.50/0.73 f3(true__, v_X, c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G)))), tc_Message_Omsg) -> true__ % 0.50/0.73 f3(true__, v_X, c_Message_Oparts(c_Message_Oparts(c_Message_Oparts(v_G))), tc_Message_Omsg) -> true__ % 0.50/0.73 f3(true__, v_X, c_Message_Oparts(c_Message_Oparts(v_G)), tc_Message_Omsg) -> true__ % 0.50/0.73 f3(true__, v_X, c_Message_Oparts(c_Message_Oparts(v_H)), tc_Message_Omsg) -> true__ % 0.50/0.73 f3(true__, v_X, c_Message_Oparts(v_G), tc_Message_Omsg) -> true__ % 0.50/0.73 f3(true__, v_X, c_Message_Oparts(v_H), tc_Message_Omsg) -> true__ % 0.50/0.73 f3(true__, v_X, v_G, tc_Message_Omsg) -> true__ % 0.50/0.73 f3(true__, v_X, v_H, tc_Message_Omsg) -> true__ % 0.50/0.73 f4(c_lessequals(V_A, V_B, tc_set(T_a)), V_c, V_A, T_a, V_B) -> true__ % 0.50/0.73 f4(true__, V_c, V_A, T_a, V_B) -> f3(c_in(V_c, V_A, T_a), V_c, V_B, T_a) % 0.50/0.73 false__ -> true__ % 0.50/0.73 with the LPO induced by % 0.50/0.73 tc_set > f4 > f2 > c_in > f3 > tc_Message_Omsg > c_Message_Oparts > f1 > v_X > v_H > v_G > c_lessequals > false__ > true__ % 0.50/0.73 % 0.50/0.73 % SZS output end Proof % 0.50/0.73 %------------------------------------------------------------------------------